An improved result on overshoot estimation

In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropf n times n , B isin Ropf n times m , and any lambda > 0, a gain matrix K can be designed so that pare (A + BK)t par les Mlambda L e -lambdat where M and L are constants indep...

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Published in2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control pp. 2396 - 2398
Main Authors Zhijian Ji, Shixu Xu, Xiaoxia Guo
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2006
Subjects
Automation
Control systems
Eigenvalues and eigenfunctions
Feedback
Intelligent control
Linear systems
Mathematics
Oceans
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Abstract In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropf n times n , B isin Ropf n times m , and any lambda > 0, a gain matrix K can be designed so that pare (A + BK)t par les Mlambda L e -lambdat where M and L are constants independent of A. Here we show that M and L can be chosen much smaller than that proposed in (D. Cheng et. al, 2004),(D. Cheng et. al, 2005). As a consequence, the estimation on overshoot of a transition matrix can be bounded more precisely. This can be regarded as a complement to the result presented in (D. Cheng et. al, 2004),(D. Cheng et. al, 2005)
AbstractList In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropf n times n , B isin Ropf n times m , and any lambda > 0, a gain matrix K can be designed so that pare (A + BK)t par les Mlambda L e -lambdat where M and L are constants independent of A. Here we show that M and L can be chosen much smaller than that proposed in (D. Cheng et. al, 2004),(D. Cheng et. al, 2005). As a consequence, the estimation on overshoot of a transition matrix can be bounded more precisely. This can be regarded as a complement to the result presented in (D. Cheng et. al, 2004),(D. Cheng et. al, 2005)
Author Shixu Xu
Zhijian Ji
Xiaoxia Guo
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Snippet In (D. Cheng et. al, 2004),(D. Cheng et. al, 2005), it is proved that for a given controllable pair (A, B) with A isin Ropf n times n , B isin Ropf n times m ,...
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SubjectTerms Automation
Control systems
Eigenvalues and eigenfunctions
Feedback
Intelligent control
Linear systems
Mathematics
Oceans
Title An improved result on overshoot estimation
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